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Numbers - General Aptitude

Q1:

What will be remainder when 17200 is divided by 18 ?

A 17

B 16

C 1

D 2

ANS:C - 1

When n is even. (xn - an) is completely divisibly by (x + a) (17200 - 1200) is completely divisible by (17 + 1), i.e., 18.     (17200 - 1) is completely divisible by 18.     On dividing 17200 by 18, we get 1 as remainder.